In this paper, we prove large and moderate deviation results for normalized sums of multivariate random variables of suitable triangular arrays having Bernoulli distributed components. Moreover, motivated by possible connections with the probabilistic method in number theory, we apply the univariate versions of these results to Newman polynomials with random coefficients
Giuliano, R., Macci, C. (2016). Asymptotic results for a class of triangular arrays of multivariate random variables with Bernoulli distributed components. LITHUANIAN MATHEMATICAL JOURNAL, 56(3), 298-317 [10.1007/s10986-016-9320-5].
Asymptotic results for a class of triangular arrays of multivariate random variables with Bernoulli distributed components
MACCI, CLAUDIO
2016-01-01
Abstract
In this paper, we prove large and moderate deviation results for normalized sums of multivariate random variables of suitable triangular arrays having Bernoulli distributed components. Moreover, motivated by possible connections with the probabilistic method in number theory, we apply the univariate versions of these results to Newman polynomials with random coefficientsFile in questo prodotto:
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